Bulletin of the
Korean Mathematical Society BKMS

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Bull. Korean Math. Soc. 2013; 50(5): 1623-1630

Printed September 1, 2013

https://doi.org/10.4134/BKMS.2013.50.5.1623

Copyright © The Korean Mathematical Society.

On periodic $P$-continued fraction having period length one

Amara Chandoul, Hela Ben Amar, and Mohamed Mkaouar

Facult\'e des Sciences de Sfax, Facult\'e des Sciences de Sfax, Facult\'e des Sciences de Sfax

Abstract

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The aim of this paper is to prove that every quadratic formalpower series $\omega$ can be expressed as a periodic non-simple continued fraction having period length one.

Keywords: continued fraction, Laurent series, finite

MSC numbers: 11A55, 11D45, 11D72, 11J61, 11J66

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